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    Question

    G and H together take 18 days to complete a task. G

    alone takes 30 days. How long will H take to finish it alone?
    A 36 days Correct Answer Incorrect Answer
    B 42 days Correct Answer Incorrect Answer
    C 45 days Correct Answer Incorrect Answer
    D 48 days Correct Answer Incorrect Answer

    Solution

    Let the total work be 90 units. {LCM (18 and 30)}
    So, combined efficiency of 'G' and 'H' = 90 ÷ 18 = 5 units/day
    Efficiency of 'G' = 90 ÷ 30 = 3 units/day
    So, efficiency of 'H' = 5 - 3 = 2 units/day
    So, time taken by 'H' to do the work alone = 90 ÷ 2 = 45 days

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